Renormalization group methods for nonlinear parabolic equations

✍ Scribed by H. Merdan; G. Caginalp

• Publisher: Elsevier Science
• Year: 2004
• Tongue: English
• Weight: 424 KB
• Volume: 17
• Category: Article
• ISSN: 0893-9659
• DOI: 10.1016/s0893-9659(04)90035-3

✦ Synopsis

Renormalization group (RG) methods are described for determining the key exponents related to the decay of solutions to nonlinear parabolic differential equations. Higher order (in the small coefficient of the nonlinearity) methods are developed. Exact solutions and theorems in some special cases confirm the RG results.